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Finding the Fourth Proportional to 6,949.64, 10,423.34 and 3,053.32

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Solution

The fourth proportional to 6,949.64, 10,423.34 and 3,053.32 is: 4,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.64 : 10,423.34 = 3,053.32 : x
  2. Step 2: Convert to fraction form
    6,949.64/10,423.34 = 3,053.32/x
  3. Step 3: Cross multiply
    6,949.64x = 10,423.34 × 3,053.32
  4. Step 4: Simplify right side
    6,949.64x = 31,825,792.49
  5. Step 5: Solve for x
    x = 31,825,792.49/6,949.64
  6. Step 6: Final answer
    x = 4,579.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.